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Finding the Fourth Proportional to 801.65, 1,202.39 and 253.78

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Solution

The fourth proportional to 801.65, 1,202.39 and 253.78 is: 380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.65 : 1,202.39 = 253.78 : x
  2. Step 2: Convert to fraction form
    801.65/1,202.39 = 253.78/x
  3. Step 3: Cross multiply
    801.65x = 1,202.39 × 253.78
  4. Step 4: Simplify right side
    801.65x = 305,147.40
  5. Step 5: Solve for x
    x = 305,147.40/801.65
  6. Step 6: Final answer
    x = 380.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.